11.18 is greater than 11 and less than 13
Using the chain rule: The derivative of e^u is (e^u)(u'). Notice that e^u is rewritten exactly as is and then multiplied by the derivative of the exponent.
Let u=2x. So u'=2
So the derivative of e^u is e^(2x)*2 This can also be written as 2e^(2x).
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), thus
H(5, 0 ) → H'(- 5, 0 )
I(- 6, - 3 ) → I'(6, - 3 )
Answer:
y = 3
Step-by-step explanation:
Solve for y:
y + 3 = 9 - y
Add y to both sides:
y + y + 3 = (y - y) + 9
y - y = 0:
y + y + 3 = 9
y + y = 2 y:
2 y + 3 = 9
Subtract 3 from both sides:
2 y + (3 - 3) = 9 - 3
3 - 3 = 0:
2 y = 9 - 3
9 - 3 = 6:
2 y = 6
Divide both sides of 2 y = 6 by 2:
(2 y)/2 = 6/2
2/2 = 1:
y = 6/2
The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:
Answer: y = 3
Six million, one hundred seventy-three thousand, two hundred fifty three
